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Finding the Third Proportional to 63,974.81 and 139,294.69

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Solution

The third proportional to 63,974.81 and 139,294.69 is: 303,291.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,974.81 : 139,294.69 = 139,294.69 : x
  2. Step 2: Convert to fraction form
    63,974.81/139,294.69 = 139,294.69/x
  3. Step 3: Cross multiply
    63,974.81x = 139,294.69 × 139,294.69
  4. Step 4: Simplify right side
    63,974.81x = 19,403,009,965.72
  5. Step 5: Solve for x
    x = 19,403,009,965.72/63,974.81
  6. Step 6: Final answer
    x = 303,291.39

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.